105051056 has 40 divisors (see below), whose sum is σ = 222642000. Its totient is φ = 47621120.

The previous prime is 105051053. The next prime is 105051059. The reversal of 105051056 is 650150501.

It is an interprime number because it is at equal distance from previous prime (105051053) and next prime (105051059).

It is a super-2 number, since 2×105051056² = 22071448733430272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105051053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99620 + ... + 100668.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2^105051056 is an apocalyptic number.

105051056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105051056 is an abundant number, since it is smaller than the sum of its proper divisors (117590944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105051056 is a wasteful number, since it uses less digits than its factorization.

105051056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105051056 is about 10249.4417408950. The cubic root of 105051056 is about 471.8458512234.

The spelling of 105051056 in words is "one hundred five million, fifty-one thousand, fifty-six".